Question

For the series resonant circuit given below, the value of the quality factor is ___________ (a) 15 (b) 36 (c) 25 (d) 10 This question was addressed to me by my school principal while I was bunking the class. Query is from Problems of Series Resonance Involving Quality Factor topic in chapter Resonance & Magnetically Coupled Circuit of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

The correct choice is (d) 10 The explanation: Resonant Frequency, FR = \(\frac{1}{2π\sqrt{LC}} \) = \(\frac{1}{6.28\sqrt{(5 × 10^{-3})(0.02 × 10^{-6})}}\) = \(\frac{1}{6.28\sqrt{10^{-10}}}\) = \(\frac{1}{6.28 × 10^{-5}}\) = 15.9 kHz. Inductive Reactance, XL = 2πfL = (6.28) (15.92 × 10^3)(5 × 10^-6) = 0.5 kΩ ∴ Quality factor Q = \(\frac{X_L}{R} = \frac{0.5 kΩ}{50}\) = 10.